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Finding the Third Proportional to 29,270 and 45,406

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Solution

The third proportional to 29,270 and 45,406 is: 70,437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,270 : 45,406 = 45,406 : x
  2. Step 2: Convert to fraction form
    29,270/45,406 = 45,406/x
  3. Step 3: Cross multiply
    29,270x = 45,406 × 45,406
  4. Step 4: Simplify right side
    29,270x = 2,061,704,836
  5. Step 5: Solve for x
    x = 2,061,704,836/29,270
  6. Step 6: Final answer
    x = 70,437.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.